24961420 has 48 divisors (see below), whose sum is σ = 57915648. Its totient is φ = 8960960.

The previous prime is 24961411. The next prime is 24961429. The reversal of 24961420 is 2416942.

24961420 = 7² + 8² + ... + 421².

It is an interprime number because it is at equal distance from previous prime (24961411) and next prime (24961429).

It is not an unprimeable number, because it can be changed into a prime (24961429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17577 + ... + 18943.

It is an arithmetic number, because the mean of its divisors is an integer number (1206576).

Almost surely, 2^24961420 is an apocalyptic number.

24961420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24961420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28957824).

24961420 is an abundant number, since it is smaller than the sum of its proper divisors (32954228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24961420 is a wasteful number, since it uses less digits than its factorization.

24961420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 24961420 is about 4996.1405104340. The cubic root of 24961420 is about 292.2512849108.

It can be divided in two parts, 2496 and 1420, that added together give a triangular number (3916 = T₈₈).

The spelling of 24961420 in words is "twenty-four million, nine hundred sixty-one thousand, four hundred twenty".